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Finding the Fourth Proportional to 968.64, 1,336.65 and 526.53

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Solution

The fourth proportional to 968.64, 1,336.65 and 526.53 is: 726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.64 : 1,336.65 = 526.53 : x
  2. Step 2: Convert to fraction form
    968.64/1,336.65 = 526.53/x
  3. Step 3: Cross multiply
    968.64x = 1,336.65 × 526.53
  4. Step 4: Simplify right side
    968.64x = 703,786.32
  5. Step 5: Solve for x
    x = 703,786.32/968.64
  6. Step 6: Final answer
    x = 726.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.